3n-2=5n-3n+40

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Solution for 3n-2=5n-3n+40 equation:


Simplifying
3n + -2 = 5n + -3n + 40

Reorder the terms:
-2 + 3n = 5n + -3n + 40

Reorder the terms:
-2 + 3n = 40 + 5n + -3n

Combine like terms: 5n + -3n = 2n
-2 + 3n = 40 + 2n

Solving
-2 + 3n = 40 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
-2 + 3n + -2n = 40 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-2 + 1n = 40 + 2n + -2n

Combine like terms: 2n + -2n = 0
-2 + 1n = 40 + 0
-2 + 1n = 40

Add '2' to each side of the equation.
-2 + 2 + 1n = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 1n = 40 + 2
1n = 40 + 2

Combine like terms: 40 + 2 = 42
1n = 42

Divide each side by '1'.
n = 42

Simplifying
n = 42

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